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Finding the Fourth Proportional to 403,139.76, 556,217.44 and 259,982

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Solution

The fourth proportional to 403,139.76, 556,217.44 and 259,982 is: 358,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,139.76 : 556,217.44 = 259,982 : x
  2. Step 2: Convert to fraction form
    403,139.76/556,217.44 = 259,982/x
  3. Step 3: Cross multiply
    403,139.76x = 556,217.44 × 259,982
  4. Step 4: Simplify right side
    403,139.76x = 144,606,522,486.08
  5. Step 5: Solve for x
    x = 144,606,522,486.08/403,139.76
  6. Step 6: Final answer
    x = 358,700.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.